Quantum Test of the Local Position Invariance with Internal Clock
Interferometry
- URL: http://arxiv.org/abs/2301.11258v1
- Date: Thu, 26 Jan 2023 17:49:07 GMT
- Title: Quantum Test of the Local Position Invariance with Internal Clock
Interferometry
- Authors: Zhifan Zhou
- Abstract summary: Current attempts to test local position invariance (LPI) compare different clock transition rates with classically exchanged signals.
We propose an experimental scheme for the quantum test of LPI: an internal atomic clock interferometer comprising two interfering clocks within one atom.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Current attempts to test local position invariance (LPI) compare different
clock transition rates with classically exchanged signals. We propose an
experimental scheme for the quantum test of LPI: an internal atomic clock
interferometer comprising two interfering clocks within one atom. We prepare
the atom in a superposition of two clock states and one ground state, which
evolves coherently along two quantum clock oscillations into stable internal
Ramsey interference patterns. The interference pattern with the shared ground
state shows a visibility modulation, which can be interpreted as the beating of
the individual clock oscillations and a direct consequence of complementarity.
Upon the interferometer experiencing a different gravitational potential, LPI
predicts that both clock tick rates will change proportionally, while quantum
complementarity indicates that the visibility modulation should modify
accordingly. This change is deemed insignificant for the first period of
visibility modulation but can be stacked up until the limit of the system
coherence time. Since no splitting or recombining is involved, the system
coherence time can be as long as the trap lifetime or the clock state lifetime.
The required resolution to observe the visibility modulation is within reach of
the state-of-art optical clocks' sensitivities. This experimental scheme is
feasible in different scenarios, still or with speed, and may shed new light on
studying the quantum effect of time and general relativity.
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